Naslov
On p-adic T-numbers

Autori
Pejković, Tomislav

Izvornik
Publicationes mathematicae (0033-3883) 82 (2013), 3-4; 549-567

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
p-adic numbers ; T-numbers

Sažetak
Denote by w_n* and w_n the exponents of Diophantine approximation defined in Mahler’s and Koksma’s classifications of transcendental numbers, respectively. We prove that there are p-adic T-numbers x such that w_n(x) − w_n*(x) is any number chosen in the segment [0, (n −1)/n] for all positive integers n and for w_n(x) large enough. Thus we improve Schlickewei’s result that p-adic T-numbers do exist.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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